He won't work under them.
But if his COUNTRY needed him, would he turn down requested help from the Government? If the Government wanted a criminal removed, who they feel is a a threat to National security, would Superman not help them?
I see no reason why he wouldn't, especially if he thinks he's doing the right thing.

Batman does have full control.
He's not crazy.

But have you never seen moments, where he sits alone, thinking to himself? Remembering his traumatic past? If he wasn't traumatized, things wouldn't torture or torment him, right?
Some writers have it manifest strongly, better examples would be in films like Batman 89, Returns and Forever.
Whilst other writers for the comics don't put emphasis on it, and that's shown in TDKT.

Just because his trauma is downplayed nowadays, it doesn't mean it's non existent deep down. He wouldn't be who he is.

You think Superman is corrupt that's your opinion, you think Batman is a lunatic that's your opinion, you have a strange opinion on your superheroes.